The role of aging in a minimal model of earthquakes

Abstract : We introduce a simple model of earthquakes, inspired by the spring-block models, but describing contacts at a meso-scale. A single contact point synthesizes many rock contacts so that these ''macro-contacts'' can have an internal dynamics, described by a stochastic process, that leads to an evolution of their breaking threshold. This aging process leads to the Gutenberg-Richter law, which relates the probability of occurrence of earthquakes to their magnitude. An analytical approach is used to determine the range of magnitudes in which this law applies.
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Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2013, 87, pp.032808. 〈10.1103/PhysRevE.87.032808〉
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Oleg Braun, Michel Peyrard. The role of aging in a minimal model of earthquakes. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2013, 87, pp.032808. 〈10.1103/PhysRevE.87.032808〉. 〈ensl-00934627〉

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